caa a22 4500 467987181 CHVBK 20180323112535.0 cr unu---uuuuu 170328e19900901xx s 000 0 eng 10.1007/BF00048768 doi (NATIONALLICENCE)springer-10.1007/BF00048768 Easton Robert Program in Applied Mathematics, University of Colorado, 80302, Boulder, CO, U.S.A. aut Capture orbits and melnikov integrals in the planar three-body problem [Elektronische Daten] [Robert Easton] The separatrix between bounded and unbounded orbits in the three-body problem is formed by the manifolds of forward and backward parabolic orbits. In an ideal problem these manifolds coincide and form the boundary between the sets of bounded and unbounded orbits. As a mass parameter increases the movement of the parabolic manifolds is approximated numerically and by Melnikov's method. The evidence indicates that for positive values of the mass parameter these manifolds no longer coincide, and that capture and oscillatory orbits exist. Kluwer Academic Publishers, 1991 Parabolic orbit nationallicence capture orbit nationallicence hyperbolic homoclinic orbit nationallicence Melnikov's method nationallicence three-body problem nationallicence Celestial Mechanics and Dynamical Astronomy Kluwer Academic Publishers 50/3(1990-09-01), 283-297 0923-2958 50:3<283 1990 50 10569 https://doi.org/10.1007/BF00048768 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00048768 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Easton Robert Program in Applied Mathematics, University of Colorado, 80302, Boulder, CO, U.S.A aut NATIONALLICENCE 773 0- Celestial Mechanics and Dynamical Astronomy Kluwer Academic Publishers 50/3(1990-09-01), 283-297 0923-2958 50:3<283 1990 50 10569 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer